Q. 24.1( 78 Votes )

In each of the fo

Answer :

(i) Let us assume A = {1, 2}


And, B = {1, {1, 2}, {3}}


So,


And,



But,


Hence, the given statement is false


(ii) Let us assume, A {2}


B = {0, 2}


And, C = {1, {0, 2}, 3}


It is given in the question that,




But,


Hence, the given statement is false


(iii) It is given in the question that,



Let us assume,


So,


And,



Hence, the given statement is correct


(iv) It is given in the question that,


A B


And, B C


Let us now assume, A = {1, 2}


B = {0, 6, 8}


And, C = {0, 1, 2, 6, 9}



Hence, the given statement is false


(v) It is given in the question that,



And, A B


Let us now assume, A = {3, 5, 7}


And, B = {3, 4, 6}


As,


And,



Hence, the given statement is false


(vi) It is given in the question that,


A B


And, x B


Let us suppose, then we have:



But it is given in the question that, x B


x A


Hence, the given statement is true


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